Questions and Answers
What does F(x) + c represent?
What does F(x) - c represent?
What does F(x + c) represent?
What does F(x - c) represent?
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What does -f(x) represent?
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What does F(-x) represent?
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What does Af(x) represent?
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What does Af(x) where A is a fraction represent?
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What does F(ax) represent?
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What does F(ax) where A is a fraction represent?
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Study Notes
Vertical Translations
- F(x) + c: Indicates a vertical translation upward by c units.
- F(x) - c: Represents a vertical translation downward by c units.
Horizontal Translations
- F(x + c): Signifies a horizontal translation to the left by c units.
- F(x - c): Denotes a horizontal translation to the right by c units.
Reflections
- -f(x): Demonstrates a reflection of the graph over the x-axis, reversing the y-values.
- F(-x): Represents a reflection over the y-axis, reversing the x-values.
Vertical Transformations
- Af(x) with A > 1: Indicates a vertical stretch, making the graph taller.
- Af(x) with 0 < A < 1: Signifies vertical compression, resulting in a squished graph when A is a fraction.
Horizontal Transformations
- F(ax) with A > 1: Indicates horizontal compression, squeezing the graph closer together.
- F(ax) with 0 < A < 1: Represents a horizontal stretch, causing the graph to spread out.
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Description
Test your understanding of algebraic translations with these flashcards. Each card features a function transformation along with its definition, helping to solidify your grasp of vertical and horizontal translations, as well as reflections. Perfect for students looking to master this key concept in algebra.
